Prerna invested Rs $x$ for $6$ months, Ankita Rs $2400$ for $10$ months and Pavneet Rs $3900$ for $8$ months. If Ankita got Rs $6000$ out of a total profit of Rs $19, 200$ , then what is the money invested by Prerna in rupees?

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Solution

Ratio of shares of profit of Prena : Ankita : Pavneet
$\Rightarrow x \times 6 : 2400 \times 10 : 3900 \times 8$
$\Rightarrow 3 x : 1200 \times 10 : 3900 \times 4$
$\Rightarrow 3 x : 12000 : 15600$

Given:
$\Rightarrow \frac{12000}{3 x + 27600} \times 19200 = 6000$
$\Rightarrow 12000 \times 192 = 60 \times (3 x + 27600)$
$\Rightarrow 12000 \times 192 = 180 x + 60 \times 27600$
$\Rightarrow 648000 = 180 x$
$\Rightarrow x = 3600$

Thus, Prerna invested Rs. $3600$ .

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Prerna invested Rs x for 6 months, Ankita Rs 2400 for 10 months and Pavneet Rs 3900 for 8 months. If Ankita got Rs 6000 out of a total profit of Rs 19,200, then what is the money invested by Prerna in rupees?

Ratio of shares of profit of Prena : Ankita : Pavneet ⇒x×6:2400×10:3900×8 ⇒3x:1200×10:3900×4 ⇒3x:12000:15600Given: ⇒120003x+27600×19200=6000 ⇒12000×192=60×(3x+27600)⇒12000×192=180x+60×27600⇒648000=180x⇒x=3600Thus, Prerna invested Rs. 3600.

Prerna invested Rs $x$ for $6$ months, Ankita Rs $2400$ for $10$ months and Pavneet Rs $3900$ for $8$ months. If Ankita got Rs $6000$ out of a total profit of Rs $19, 200$ , then what is the money invested by Prerna in rupees?